ITERATIVE AND SEMIITERATIVE METHODS FOR COMPUTING STATIONARY PROBABILITY VECTORS OF MARKOV OPERATORS

被引：20

作者：

MAREK, I ^{[1
]}

SZYLD, DB ^{[1
]}

机构：

[1] TEMPLE UNIV, DEPT MATH, PHILADELPHIA, PA 19122 USA

来源：

MATHEMATICS OF COMPUTATION | 1993年 / 61卷 / 204期

关键词：

K-STOCHASTIC OPERATORS; MARKOV TYPE OPERATORS; STATIONARY PROBABILITY VECTORS; ITERATIVE METHODS; SEMIITERATIVE METHODS;

D O I：

10.2307/2153249

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Iterative and semi-iterative methods for computing stationary probability vectors of Markov-type operators are proposed and their convergence properties are analyzed. The methods studied apply to certain classes of problems in infinite-dimensional spaces as well as to classical n x n stochastic matrices.

引用

页码：719 / 731

页数：13

共 31 条

[11]

Krein M. G., 1948, USP MAT NAUK, V3, P3, DOI 221.238.211.53

[12]

LEDERMANN W, 1982, HDB APPLICATOIN MATH, V4

[13]

LELEK V, 1988, 9TH P TAG PROBL METH, P159

[14] COMPARISON-THEOREMS FOR WEAK SPLITTINGS OF BOUNDED OPERATORS [J].

MAREK, I ;

SZYLD, DB .

NUMERISCHE MATHEMATIK, 1990, 58 (04) :387-397

[15] SPLITTINGS OF M-OPERATORS - IRREDUCIBILITY AND THE INDEX OF THE ITERATION OPERATOR [J].

MAREK, I ;

SZYLD, DB .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1990, 11 (5-6) :529-553

[16]

MAREK I, 1991, 9152 TEMPL U DEP MAT

[17]

MAREK I, 1991, 1990 P C MATH FORSCH, V96, P155

[18]

Marek I., 1984, COMMENT MATH UNIV CA, V25, P61

[19]

MAREK I, UNPUB LINEAR ALGEBRA

[20]

Nashed MZ., 1971, NONLINEAR FUNCTIONAL, P311, DOI 10.1016/B978-0-12-576350-9.50007-2

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